70 câu trắc nghiệm Toán 12 Chân trời sáng tạo Bài 1. Nguyên hàm có đáp án - Đề 2

A. \(\int {\cos \frac{x}{2}\sin \frac{x}{2}} = \frac{1}{2}\sin + C\).                    

B. \(\int {\cos \frac{x}{2}\sin \frac{x}{2}} = \frac{1}{2}\cos x + C\)

A. \({\rm{2}}{{\rm{e}}^{2x - 1}} + C\).                      

B. \({{\rm{e}}^{2x - 1}} + C\).                                     

B. \(\int f (x)dx = {e^x} + 2x + C\).

D. \(\int f (x)dx = {e^x} - 2x + C\).

B. \(\int f (x)dx = {e^x} + 2x + C\).

D. \(\int f (x)dx = {e^x} - 2x + C\).

B. \(\int {f\left( x \right){\rm{d}}x = {e^x} + C} \).

A. \(\int {{7^x}{\rm{d}}x} = \frac{{{7^x}}}{{\ln 7}} + C\)                                 

A. \(\int {{2^x}{\rm{d}}x = \ln {{2.2}^x} + C} \).       

B. \(\int {{2^x}{\rm{d}}x = {2^x} + C} \).                   

A. \( - \frac{{{3^{ - x}}}}{{\ln 3}} + C\)                      

B. \( - {3^{ - x}} + C\)          

A. \({e^x} + {x^2} + C\).     

B. \({e^x} - {x^2} + C\).      

A. \(\int {f\left( x \right){\rm{d}}x} = 2017{e^x} - \frac{{2018}}{{{x^4}}} + C\).        

B. \(\int {f\left( x \right){\rm{d}}x} = 2017{e^x} + \frac{{2018}}{{{x^4}}} + C\).

A \(\int {{e^x}{\rm{d}}x = x{e^x} + C} \).                  

B. \(\int {{e^x}{\rm{d}}x = {e^{x + 1}} + C} \).         

A. \(\int {f(x)dx = x + \frac{1}{2}{e^x} + C.} \)           

B. \(\int {f(x)dx = x + 2{e^{2x}} + C.} \)

A. \[{e^x} - 2{e^{ - 2x}} + C\].      

A. \[x + \sin x + C\].              

B. \[\frac{1}{3}{\left( {\cos \frac{x}{2}} \right)^3} + C\]. 

A. \[{e^x} - \frac{1}{2}{e^{ - 2x}} + C\].                    

B. \[\frac{{{{25}^x}}}{{2\ln 5}} + 12{e^{ - \frac{x}{2}}} + C\].                        

A. 2.

C. 8.

D. 4.

A. \(F\left( { - 1} \right) = \frac{1}{{2\ln 2}}\).            

B. \(F\left( { - 1} \right) = \frac{1}{2} - \frac{1}{{2\ln 2}}\).

A. \(F\left( x \right) = - \cos x + \sin x + 3\)

B. \(F\left( x \right) = - \cos x + \sin x - 1\)